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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 5, Pages 935–940 (Mi zvmmf660)  
This article is cited in 7 scientific papers (total in 7 papers)

On the number of irreducible coverings of an integer matrix

E. V. Dyukova

Dorodnicyn Computing Center Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (659 kB) Citations (7)
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Abstract: The metric (quantitative) properties of the set of coverings of an integer matrix are examined. an asymptotic estimate for the logarithm of the typical number of irredundant $\sigma$-coverings is obtained in the case when the number of rows in the matrix is not smaller than the number of its columns. as a consequence, a similar estimate is derived for the number of maximal conjunctions of a boolean function of $n$ variables with the number of zeros no less than $n$.
Key words: discrete recognition procedures, irredundant covering of an integer matrix, metric properties of a set of coverings, metric properties of disjunctive normal forms.
Received: 26.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:519.712.63
Language: Russian
Citation: E. V. Dyukova, “On the number of irreducible coverings of an integer matrix”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 935–940; Comput. Math. Math. Phys., 45:5 (2005), 903–908
Citation in format AMSBIB
\Bibitem{Dyu05}
\by E.~V.~Dyukova
\paper On the number of irreducible coverings of an integer matrix
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 5
\pages 935--940
\mathnet{http://mi.mathnet.ru/zvmmf660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2190083}
\zmath{https://zbmath.org/?q=an:1090.15014}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 5
\pages 903--908
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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